13002130020000 has 720 divisors, whose sum is σ = 47122446815136. Its totient is φ = 3135686400000.

The previous prime is 13002130019959. The next prime is 13002130020013. The reversal of 13002130020000 is 2003120031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1430215455 + ... + 1430224545.

Almost surely, 2^{13002130020000} is an apocalyptic number.

13002130020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13002130020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23561223407568).

13002130020000 is an abundant number, since it is smaller than the sum of its proper divisors (34120316795136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13002130020000 is a wasteful number, since it uses less digits than its factorization.

13002130020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9343 (or 9309 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13002130020000 its reverse (2003120031), we get a palindrome (13004133140031).

It can be divided in two parts, 13002 and 130020000, that multiplied together give a square (1690520040000 = 1300200²).

The spelling of 13002130020000 in words is "thirteen trillion, two billion, one hundred thirty million, twenty thousand".